Answer:
B. (10,4)
Step-by-step explanation:
Let x be the independent variable and y represents the dependent variable in the graph,
∵Graph represents the direct variation,
⇒ y ∝ x
⇒ y = kx
Where, k is the proportionality constant.
Here, k = 0.4,
⇒ Equation that shows in the graph would be,
y = 0.4x
At (4, 10),
10 = 0.4(4) ( False ),
⇒ (4, 10) is not in the graph.
At (10, 4),
4 = 0.4(10) ( True )
⇒ (10, 4) is on the graph.
At (0.04, 10),
10 = 0.4(0.04) ( false )
⇒ (0.04, 10) is not on the graph.
At (10, 0.04),
0.04 = 0.4(10) ( false )
⇒ (10, 0.04) is not on the graph.
a. Jada got the measurement 16m.
b. The measured depth differ 0.2m from the actual depth.
c. There is a 12.66% error in calculation.
Step-by-step explanation:
Given,
The depth of lake = 15.8 m
a. Jada accurately measured the depth of the lake to the nearest meter. What measurement did Jada get
When a digit after the decimal point is 5 or more than that, the number before decimal is rounded to the next number.
Therefore,
15.8 rounded to nearest number is 16.
The depth of lake measured by Jada = 16 m
Jada got the measurement 16m.
b. By how many meters does the measured depth differ from the actual depth?
Difference = Approx - Exact
Difference = 16 - 15.8 = 0.2m
The measured depth differ 0.2m from the actual depth.
c. Express the measurement error ad a percentage of the actual depth.
Percent error = 
Percent error = 
Percent error = 12.66%
There is a 12.66% error in calculation.
Keywords: percent, error
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Answer:
Infinite amount of solutions
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -2x + 4
2x + y = 4
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x + (-2x + 4) = 4
- Combine like terms: 4 = 4
Here we see that 4 does indeed equal 4.
∴ the systems of equations has an infinite amount of solutions.
Answer:
The domain is {x:x is a real number}
The range is {y:y is only 4}
Step-by-step explanation:
The domain of the function is the values of x
The range of the function is the values of y
f(x) = 4 is represented graphically by a horizontal line // to x-axis from y = 4
Every point on the this line has different values of x but same value of y
ex: (-1 , 4) , (5 , 4) , ( 0.1 , 4) , ................
So f(x) = 4 is called constant function
14/5-5/6=84/30-25/30=59/30
59/30=1 and 29/30